SeDuMi swMATH ID: 4002 Software Authors: Sturm, J. F. Description: SeDuMi is a Matlab toolbox for solving optimization problems over symmetric cones, i.e. it allows not only for linear constraints, but also quasiconvex-quadratic constraints and positive semi-definiteness constraints. Complex valued entries are allowed. Features include symbolic and numerical reordering schemes, balancing speed/accuracy performance and sophisticated dense column handling, using the Goldfarb-Scheinberg product form idea. Homepage: http://sedumi.ie.lehigh.edu/ Dependencies: Matlab Related Software: YALMIP; SDPT3; GloptiPoly; Sostools; Matlab; CVX; Mosek; SDPA; CSDP; LMI toolbox; Robotics; SparsePOP; SDPLR; Benchmarks for Optimization Software; SDPLIB; GitHub; SDPNAL+; CPLEX; PENNON; BARON Cited in: 1,433 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Implementation of interior point methods for mixed semidefinite and second order cone optimization problems. Zbl 1032.90021Sturm, Jos F. 2002 Using SeDuMi 1. 02, a MATLAB toolbox for optimization over symmetric cones. Zbl 0973.90526Sturm, Jos F. 1999 all top 5 Cited by 2,152 Authors 38 Nie, Jiawang 27 Lasserre, Jean-Bernard 23 de Klerk, Etienne 23 Kojima, Masakazu 22 Henrion, Didier 20 Oliveira, Ricardo C. L. F. 20 Peres, Pedro L. D. 20 Toh, Kim Chuan 19 Fan, Jinyan 19 Kim, Sunyoung 17 Kanno, Yoshihiro 16 Boyd, Stephen Poythress 15 Zhou, Anwa 13 Parrilo, Pablo A. 13 Yamashita, Makoto 12 Sotirov, Renata 11 Chesi, Graziano 11 Puig, Vicenç 11 Rotondo, Damiano 10 Briat, Corentin 10 Lacerda, Marcio jun. 10 Papachristodoulou, Antonis 10 Terlaky, Tamás 10 Waki, Hayato 9 Deng, Zhibin 9 Zhang, Shuzhong 9 Zhou, Guangming 8 Beck, Amir 8 Fukushima, Masao 8 Magron, Victor 8 Peaucelle, Dimitri 8 Povh, Janez 8 Yang, Zhengfeng 8 Ye, Yinyu 8 Zhu, Shushang 7 Assunção, Edvaldo 7 Bernal, Miguel Angel 7 Eldar, Yonina Chana 7 Faria, Flávio A. 7 Fukuda, Mituhiro 7 Hu, ShengLong 7 Huang, Zheng-Hai 7 Köroğlu, Hakan 7 Li, Yang 7 López, Julio E. 7 Nejjari, Fatiha 7 Pan, Shaohua 7 Qi, Liqun 7 Scherer, Carsten W. 7 Sun, Defeng 7 Vandenberghe, Lieven 7 Wolkowicz, Henry 7 Xia, Yong 7 Zhang, Hongbin 7 Zhang, Xinzhen 7 Zhong, Suhan 6 Ahmadi, Amir Ali 6 Allgower, Frank 6 Anjos, Miguel F. 6 Asemani, Mohammad Hassan 6 Bomze, Immanuel M. 6 Cerone, Vito 6 Cheng, Jianqiang 6 Dumitrescu, Bogdan Alexandru 6 Jarre, Florian 6 Klep, Igor 6 Lee, Donghwan 6 Leite, Valter J. S. 6 Lisser, Abdel 6 Lu, Cheng 6 Morais, Cecília F. 6 Muramatsu, Masakazu 6 Pereira, Renan Lima 6 Regruto, Diego 6 Rodrigues, Luis 6 Tian, Ye 6 Wang, Guoqiang 6 Wong, Wengkee 6 Zhi, Lihong 6 Zhou, Julie 6 Zuluaga, Luis Fernando 5 Agulhari, Cristiano Marcos 5 Bai, Yanqin 5 Bertsimas, Dimitris John 5 Burer, Samuel 5 Cardim, Rodrigo 5 Chen, Jein-Shan 5 d’Aspremont, Alexandre 5 Ebihara, Yoshio 5 Fujisawa, Katsuki 5 Helton, John William 5 Kahl, Fredrik 5 Korda, Milan 5 Li, Zhongkui 5 Lin, Wang 5 Nakata, Kazuhide 5 Oliveira, Vilma Alves 5 Pakshin, P. V. 5 Parpas, Panos 5 Pironio, Stefano ...and 2,052 more Authors all top 5 Cited in 263 Serials 105 Automatica 87 Mathematical Programming. Series A. 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English Series ...and 163 more Serials all top 5 Cited in 49 Fields 846 Operations research, mathematical programming (90-XX) 490 Systems theory; control (93-XX) 238 Numerical analysis (65-XX) 137 Computer science (68-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 80 Statistics (62-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Information and communication theory, circuits (94-XX) 39 Mechanics of deformable solids (74-XX) 36 Algebraic geometry (14-XX) 32 Ordinary differential equations (34-XX) 28 Combinatorics (05-XX) 22 Probability theory and stochastic processes (60-XX) 21 Commutative algebra (13-XX) 21 Biology and other natural sciences (92-XX) 20 Dynamical systems and ergodic theory (37-XX) 16 Integral transforms, operational calculus (44-XX) 16 Quantum theory (81-XX) 15 Operator theory (47-XX) 12 Number theory (11-XX) 11 Partial differential equations (35-XX) 11 Convex and discrete geometry (52-XX) 10 Approximations and expansions (41-XX) 10 Mechanics of particles and systems (70-XX) 9 Field theory and polynomials (12-XX) 6 Real functions (26-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 6 Fluid mechanics (76-XX) 4 Mathematical logic and foundations (03-XX) 4 General algebraic systems (08-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year